Answer: -4/3
The slope of the given line is 3/4. It's simply the value in front of the x. To be more specific, the equation given to us is in the form y = mx+b where m = 3/4 is the slope.
Flip the fraction and then the sign
flip the fraction: 3/4 ----> 4/3
Then flip the sign: 4/3 ----> -4/3
In other words, we take the negative reciprocal
Notice how the original slope 3/4 and the perpendicular slope -4/3 multiply to -1
<h3>
Answer: 14.2</h3>
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Explanation:
Let point N be at the intersection of the horizontal line and segment JM.
We can prove the right triangles JNK and MNK are congruent using the hypotenuse leg (HL) rule. This in turn means JN = NM through the use of CPCTC.
In other words, JN = NM because the horizontal line is the perpendicular bisector of JM.
So,
JM = JN + NM
JM = NM + NM
JM = 2*NM
JM = 2*7.1
JM = 14.2
Answer:
a. 0.24094
b. 0.2494
c. 0.1473
Step-by-step explanation:
The total probability of choosing any 20 random balls out of 80 is 
. We use combination since the order of selection does not matter
a. P(all numbers are selected)
are our numbers, 
is the selection of other ten numbers apart from our numbers.
b. P(none of them are selected)
Since none of our numbers are selected, we assume that all the numbers selected are from the other 70.
c. P (exactly four are selected)
Only four from our numbers are selected and the rest 16 from the other 70 numbers.
Answer:
18(40/360) + 9( 140/360) -3(90/360) -7(90/360)
=2 + 3.5 - 0.75 - 1.75
= $3
